Questions: Plot two points on the line to graph the function.

Solution Steps

The given function is \( f(x) = -3 - \frac{3}{2}x \). The y-intercept occurs when \( x = 0 \).

\[ f(0) = -3 - \frac{3}{2}(0) = -3 \]

So, the y-intercept is at the point (0, -3).

The slope of the line is \(-\frac{3}{2}\). This means for every 2 units increase in \( x \), \( y \) decreases by 3 units.

Starting from the y-intercept (0, -3):

• Increase \( x \) by 2: \( x = 2 \)
• Decrease \( y \) by 3: \( y = -3 - 3 = -6 \)

So, another point on the line is (2, -6).

Plot the points (0, -3) and (2, -6) on the graph.

Final Answer